%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU206+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:55:53 PM UTC 2026
% Result : Theorem 7.00s 1.76s
% Output : CNFRefutation 7.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 50 ( 7 unt; 0 def)
% Number of atoms : 244 ( 47 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 322 ( 128 ~; 140 |; 37 &)
% ( 12 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 1 con; 0-3 aty)
% Number of variables : 159 ( 0 sgn 134 !; 25 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f7,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f8,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f9,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f38,conjecture,
! [X0] :
( relation(X0)
=> relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f39,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
inference(negated_conjecture,[status(cth)],[f38]) ).
fof(f51,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f53,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f54,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f63,plain,
? [X0] :
( relation(X0)
& relation_rng(X0) != relation_image(X0,relation_dom(X0)) ),
inference(ennf_transformation,[],[f39]) ).
fof(f75,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( relation_image(X0,X1) != X2
| ! [X3] :
( ( ~ in(X3,X2)
| ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) ) )
& ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0) )
| in(X3,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) ) )
& ( ~ in(X3,X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0) ) ) )
| X2 = relation_image(X0,X1) ) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f76,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( relation_image(X0,X1) != X2
| ! [X6] :
( ( ~ in(X6,X2)
| ? [X8] :
( in(X8,X1)
& in(ordered_pair(X8,X6),X0) ) )
& ( ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X7,X6),X0) )
| in(X6,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,X3),X0) ) )
& ( ~ in(X3,X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0) ) ) )
| X2 = relation_image(X0,X1) ) ) ),
inference(rectify,[],[f75]) ).
fof(f77,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( relation_image(X0,X1) != X2
| ! [X6] :
( ( ~ in(X6,X2)
| ( in(sK2(X0,X1,X6),X1)
& in(ordered_pair(sK2(X0,X1,X6),X6),X0) ) )
& ( ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X7,X6),X0) )
| in(X6,X2) ) ) )
& ( ( ( in(sK0(X0,X1,X2),X2)
| ( in(sK1(X0,X1,X2),X1)
& in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X0) ) )
& ( ~ in(sK0(X0,X1,X2),X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,sK0(X0,X1,X2)),X0) ) ) )
| X2 = relation_image(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X3,sK0(X0,X1,X2)),skolemize(X5,sK1(X0,X1,X2)),skolemize(X8,sK2(X0,X1,X6))],[f76]) ).
fof(f81,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_dom(X0) != X1
| ! [X2] :
( ( ~ in(X2,X1)
| ? [X3] : in(ordered_pair(X2,X3),X0) )
& ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X3] : in(ordered_pair(X2,X3),X0) )
& ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) ) )
| X1 = relation_dom(X0) ) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f82,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_dom(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| ? [X7] : in(ordered_pair(X5,X7),X0) )
& ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
| in(X5,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X4] : in(ordered_pair(X2,X4),X0) )
& ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) ) )
| X1 = relation_dom(X0) ) ) ),
inference(rectify,[],[f81]) ).
fof(f83,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_dom(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| in(ordered_pair(X5,sK6(X0,X5)),X0) )
& ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
| in(X5,X1) ) ) )
& ( ( ( in(sK4(X0,X1),X1)
| in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0) )
& ( ~ in(sK4(X0,X1),X1)
| ! [X3] : ~ in(ordered_pair(sK4(X0,X1),X3),X0) ) )
| X1 = relation_dom(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X2,sK4(X0,X1)),skolemize(X4,sK5(X0,X1)),skolemize(X7,sK6(X0,X5))],[f82]) ).
fof(f84,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X2] :
( ( ~ in(X2,X1)
| ? [X3] : in(ordered_pair(X3,X2),X0) )
& ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X3] : in(ordered_pair(X3,X2),X0) )
& ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) ) )
| X1 = relation_rng(X0) ) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f85,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| ? [X7] : in(ordered_pair(X7,X5),X0) )
& ( ! [X6] : ~ in(ordered_pair(X6,X5),X0)
| in(X5,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X4] : in(ordered_pair(X4,X2),X0) )
& ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) ) )
| X1 = relation_rng(X0) ) ) ),
inference(rectify,[],[f84]) ).
fof(f86,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| in(ordered_pair(sK9(X0,X5),X5),X0) )
& ( ! [X6] : ~ in(ordered_pair(X6,X5),X0)
| in(X5,X1) ) ) )
& ( ( ( in(sK7(X0,X1),X1)
| in(ordered_pair(sK8(X0,X1),sK7(X0,X1)),X0) )
& ( ~ in(sK7(X0,X1),X1)
| ! [X3] : ~ in(ordered_pair(X3,sK7(X0,X1)),X0) ) )
| X1 = relation_rng(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X2,sK7(X0,X1)),skolemize(X4,sK8(X0,X1)),skolemize(X7,sK9(X0,X5))],[f85]) ).
fof(f94,plain,
( relation(sK17)
& relation_rng(sK17) != relation_image(sK17,relation_dom(sK17)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X0,sK17)],[f63]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(sK0(X0,X1,X2),X2)
| in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X0)
| relation_image(X0,X1) = X2 ),
inference(cnf_transformation,[],[f77]) ).
fof(f107,plain,
! [X2,X0,X1,X4] :
( ~ relation(X0)
| ~ in(sK0(X0,X1,X2),X2)
| ~ in(X4,X1)
| ~ in(ordered_pair(X4,sK0(X0,X1,X2)),X0)
| relation_image(X0,X1) = X2 ),
inference(cnf_transformation,[],[f77]) ).
fof(f112,plain,
! [X0,X1,X6,X5] :
( ~ relation(X0)
| relation_dom(X0) != X1
| ~ in(ordered_pair(X5,X6),X0)
| in(X5,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f115,plain,
! [X0,X1,X5] :
( ~ relation(X0)
| relation_rng(X0) != X1
| ~ in(X5,X1)
| in(ordered_pair(sK9(X0,X5),X5),X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f116,plain,
! [X0,X1,X6,X5] :
( ~ relation(X0)
| relation_rng(X0) != X1
| ~ in(ordered_pair(X6,X5),X0)
| in(X5,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f119,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f9]) ).
fof(f146,plain,
relation(sK17),
inference(cnf_transformation,[],[f94]) ).
fof(f147,plain,
relation_rng(sK17) != relation_image(sK17,relation_dom(sK17)),
inference(cnf_transformation,[],[f94]) ).
fof(f157,plain,
! [X2,X0,X1,X4] :
( ~ relation(X0)
| ~ in(sK0(X0,X1,X2),X2)
| ~ in(X4,X1)
| ~ in(unordered_pair(unordered_pair(X4,sK0(X0,X1,X2)),singleton(X4)),X0)
| relation_image(X0,X1) = X2 ),
inference(definition_unfolding,[],[f107,f119]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(sK0(X0,X1,X2),X2)
| in(unordered_pair(unordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),singleton(sK1(X0,X1,X2))),X0)
| relation_image(X0,X1) = X2 ),
inference(definition_unfolding,[],[f106,f119]) ).
fof(f163,plain,
! [X0,X1,X6,X5] :
( ~ relation(X0)
| relation_dom(X0) != X1
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| in(X5,X1) ),
inference(definition_unfolding,[],[f112,f119]) ).
fof(f167,plain,
! [X0,X1,X6,X5] :
( ~ relation(X0)
| relation_rng(X0) != X1
| ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| in(X5,X1) ),
inference(definition_unfolding,[],[f116,f119]) ).
fof(f168,plain,
! [X0,X1,X5] :
( ~ relation(X0)
| relation_rng(X0) != X1
| ~ in(X5,X1)
| in(unordered_pair(unordered_pair(sK9(X0,X5),X5),singleton(sK9(X0,X5))),X0) ),
inference(definition_unfolding,[],[f115,f119]) ).
fof(f175,plain,
! [X0,X6,X5] :
( ~ relation(X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| in(X5,relation_dom(X0)) ),
inference(equality_resolution,[],[f163]) ).
fof(f177,plain,
! [X0,X6,X5] :
( ~ relation(X0)
| ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| in(X5,relation_rng(X0)) ),
inference(equality_resolution,[],[f167]) ).
fof(f178,plain,
! [X0,X5] :
( ~ relation(X0)
| ~ in(X5,relation_rng(X0))
| in(unordered_pair(unordered_pair(sK9(X0,X5),X5),singleton(sK9(X0,X5))),X0) ),
inference(equality_resolution,[],[f168]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( relation_image(X1,X2) = X3 )
| ~ relation(X1)
| ~ in(X0,X2)
| ~ in(sK0(X1,X2,X3),X3)
| ~ in(unordered_pair(unordered_pair(X0,sK0(X1,X2,X3)),singleton(X0)),X1) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK0(X0,X1,X2),X2)
| in(unordered_pair(unordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),singleton(sK1(X0,X1,X2))),X0)
| ( relation_image(X0,X1) = X2 )
| ~ relation(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( in(unordered_pair(unordered_pair(sK9(X1,X0),X0),singleton(sK9(X1,X0))),X1)
| ~ relation(X1)
| ~ in(X0,relation_rng(X1)) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_98,negated_conjecture,
relation_image(sK17,relation_dom(sK17)) != relation_rng(sK17),
inference(cnf_transformation,[],[f147]) ).
tcf(c_99,negated_conjecture,
relation(sK17),
inference(cnf_transformation,[],[f146]) ).
tcf(c_4779,plain,
( in(sK0(sK17,relation_dom(sK17),relation_rng(sK17)),relation_rng(sK17))
| in(unordered_pair(unordered_pair(sK1(sK17,relation_dom(sK17),relation_rng(sK17)),sK0(sK17,relation_dom(sK17),relation_rng(sK17))),singleton(sK1(sK17,relation_dom(sK17),relation_rng(sK17)))),sK17)
| ( relation_image(sK17,relation_dom(sK17)) = relation_rng(sK17) )
| ~ relation(sK17) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_5118,plain,
! [X0: $i] :
( ( relation_image(sK17,relation_dom(sK17)) = relation_rng(sK17) )
| ~ relation(sK17)
| ~ in(X0,relation_dom(sK17))
| ~ in(sK0(sK17,relation_dom(sK17),relation_rng(sK17)),relation_rng(sK17))
| ~ in(unordered_pair(unordered_pair(X0,sK0(sK17,relation_dom(sK17),relation_rng(sK17))),singleton(X0)),sK17) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_5122,plain,
( in(unordered_pair(unordered_pair(sK9(sK17,sK0(sK17,relation_dom(sK17),relation_rng(sK17))),sK0(sK17,relation_dom(sK17),relation_rng(sK17))),singleton(sK9(sK17,sK0(sK17,relation_dom(sK17),relation_rng(sK17))))),sK17)
| ~ relation(sK17)
| ~ in(sK0(sK17,relation_dom(sK17),relation_rng(sK17)),relation_rng(sK17)) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_5158,plain,
( in(sK0(sK17,relation_dom(sK17),relation_rng(sK17)),relation_rng(sK17))
| ~ relation(sK17)
| ~ in(unordered_pair(unordered_pair(sK1(sK17,relation_dom(sK17),relation_rng(sK17)),sK0(sK17,relation_dom(sK17),relation_rng(sK17))),singleton(sK1(sK17,relation_dom(sK17),relation_rng(sK17)))),sK17) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_6447,plain,
( in(sK9(sK17,sK0(sK17,relation_dom(sK17),relation_rng(sK17))),relation_dom(sK17))
| ~ relation(sK17)
| ~ in(unordered_pair(unordered_pair(sK9(sK17,sK0(sK17,relation_dom(sK17),relation_rng(sK17))),sK0(sK17,relation_dom(sK17),relation_rng(sK17))),singleton(sK9(sK17,sK0(sK17,relation_dom(sK17),relation_rng(sK17))))),sK17) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_11530,plain,
( ( relation_image(sK17,relation_dom(sK17)) = relation_rng(sK17) )
| ~ relation(sK17)
| ~ in(sK0(sK17,relation_dom(sK17),relation_rng(sK17)),relation_rng(sK17))
| ~ in(sK9(sK17,sK0(sK17,relation_dom(sK17),relation_rng(sK17))),relation_dom(sK17))
| ~ in(unordered_pair(unordered_pair(sK9(sK17,sK0(sK17,relation_dom(sK17),relation_rng(sK17))),sK0(sK17,relation_dom(sK17),relation_rng(sK17))),singleton(sK9(sK17,sK0(sK17,relation_dom(sK17),relation_rng(sK17))))),sK17) ),
inference(instantiation,[status(thm)],[c_5118]) ).
tcf(c_11531,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_11530,c_6447,c_5158,c_5122,c_4779,c_98,c_99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU206+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n026.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 13:13:25 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.44
% 0.10/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.44
% 0.10/0.44 % Detected problem language: tptp
% 0.10/0.45 % Proving...
% 7.00/1.76 % SZS status Started for theBenchmark.p
% 7.00/1.76 % SZS status Theorem for theBenchmark.p
% 7.00/1.76
% 7.00/1.76 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.00/1.76
% 7.00/1.76 % ------ iProver source info
% 7.00/1.76
% 7.00/1.76 % git: date: 2026-07-19 20:42:38 +0200
% 7.00/1.76 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.00/1.76 % git: non_committed_changes: false
% 7.00/1.76
% 7.00/1.76 % ------ Parsing...
% 7.00/1.76 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.00/1.76
% 7.00/1.76 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 7.00/1.76
% 7.00/1.76 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 7.00/1.76
% 7.00/1.76 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.00/1.76 % ------ Proving...
% 7.00/1.76 % ------ Problem Properties
% 7.00/1.76
% 7.00/1.76 %
% 7.00/1.76 % clauses 56
% 7.00/1.76 % conjectures 2
% 7.00/1.76 % EPR 21
% 7.00/1.76 % Horn 49
% 7.00/1.76 % unary 18
% 7.00/1.76 % binary 16
% 7.00/1.76 % lits 125
% 7.00/1.76 % lits eq 12
% 7.00/1.76 % fd_pure 0
% 7.00/1.76 % fd_pseudo 0
% 7.00/1.76 % fd_cond 1
% 7.00/1.76 % fd_pseudo_cond 9
% 7.00/1.76 % AC symbols 0
% 7.00/1.76
% 7.00/1.76 % ------ Input Options Time Limit: Unbounded
% 7.00/1.76
% 7.00/1.76
% 7.00/1.76 % ------
% 7.00/1.76 % Current options:
% 7.00/1.76 % ------
% 7.00/1.76
% 7.00/1.76
% 7.00/1.76 %
% 7.00/1.76
% 7.00/1.76 % ------ Proving...
% 7.00/1.76 %
% 7.00/1.76
% 7.00/1.76 % SZS status Theorem for theBenchmark.p
% 7.00/1.76
% 7.00/1.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.00/1.76
% 7.00/1.76
%------------------------------------------------------------------------------